Answer: 
Step-by-step explanation:
Distribute the negative sign.
Remove the other parentheses.
Combine like terms.
Answer:
Step-by-step explanation:
5 * 5 * 5 * 5
= 625
Answer:
The distance between these two points is <em><u>11</u></em>.
Answer:
<u>The final answer is 35n/17r</u>
Step-by-step explanation:
Let's simplify the expression, this way:
1. Start with the coefficients:
(10 * 42)/(6 * 34)
We cancel 6 in the denominator and change 42 by 7. Now we have:
(10 * 7)/34
We now divide by 2 both in the numerator and the denominator. Now we have:
(5 * 7)/17.
The remaining numbers are prime numbers and it's not possible to continue simplifying, so we got:
35/17
2. Variable r:
We have r⁴/r⁵ = r ⁴⁻⁵ = r⁻¹ = 1/r¹ = 1/r
3. Variable n:
We have n⁴/n³ = n ⁴⁻³ = n¹/1 = n
4. Adding the pieces:
We put coefficients and variables together: 35/17 * 1/r * n
<u>The final answer is 35n/17r</u>
Converting from one units to another set of units, a conversion factor is needed. For this problem, the conversion factor would be 1 mile = 1610 m. We convert the value of <span>speed</span> of light from meters/second to miles/hour as follows:
3 x 10^8 m/s (1 mile / 1610 m) ( 60 s / 1 min ) ( 60 min / 1 hr ) = 6.71 x 10^8 miles / hr
